Consider the following initial value problem, in which an input of large amplitude and short duration has been idealized as a delta function. "+ 4n'y 2n5(t - 1), y(0) = 0, v (0) - 0. a Find the Laplace transform of the solution. Y(s) L{(t)} b. Obtain the solution y(t). v(t) C. Express the solution as a piecewise-defined function and think about what happens to the graph of the solution at t= 1 if 0st<1, y(t) if 1
Consider the following initial value problem, in which an input of large amplitude and short duration has been idealized as a delta function. "+ 4n'y 2n5(t - 1), y(0) = 0, v (0) - 0. a Find the Laplace transform of the solution. Y(s) L{(t)} b. Obtain the solution y(t). v(t) C. Express the solution as a piecewise-defined function and think about what happens to the graph of the solution at t= 1 if 0st<1, y(t) if 1
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
Related questions
Question
![Consider the following initial value problem, in which an input of large amplitude and short duration has been idealized as a delta function.
/"+ 4x'y = 2x5(t – 1),
y(0) = 0, y (0) - 0.
a. Find the Laplace transform of the solution.
Y(s) = L{u(t}}
b. Obtain the solution y(t).
C. Express the solution as a piecewise-defined function and think about what happens to the graph of the solution at t= 1.
if 0<t<1,
y(t)
if 1<t<00.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0d394aa8-be85-478e-936b-e363d1b0fff4%2Fb96df632-4f2f-4402-ad7d-1b7b7108e5ad%2F4onntpn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the following initial value problem, in which an input of large amplitude and short duration has been idealized as a delta function.
/"+ 4x'y = 2x5(t – 1),
y(0) = 0, y (0) - 0.
a. Find the Laplace transform of the solution.
Y(s) = L{u(t}}
b. Obtain the solution y(t).
C. Express the solution as a piecewise-defined function and think about what happens to the graph of the solution at t= 1.
if 0<t<1,
y(t)
if 1<t<00.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Functions and Change: A Modeling Approach to Coll…](https://www.bartleby.com/isbn_cover_images/9781337111348/9781337111348_smallCoverImage.gif)
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![Calculus For The Life Sciences](https://www.bartleby.com/isbn_cover_images/9780321964038/9780321964038_smallCoverImage.gif)
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
![Functions and Change: A Modeling Approach to Coll…](https://www.bartleby.com/isbn_cover_images/9781337111348/9781337111348_smallCoverImage.gif)
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![Calculus For The Life Sciences](https://www.bartleby.com/isbn_cover_images/9780321964038/9780321964038_smallCoverImage.gif)
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,